%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUM492+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 08:36:36 EDT 2022
% Result : Theorem 9.87s 2.56s
% Output : CNFRefutation 9.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of clauses : 74 ( 39 unt; 10 nHn; 74 RR)
% Number of literals : 178 ( 51 equ; 98 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_26) ).
cnf(i_0_5,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_5) ).
cnf(i_0_221,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_221) ).
cnf(i_0_225,hypothesis,
sdtasdt0(xp,esk12_0) = sdtasdt0(xn,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_225) ).
cnf(i_0_29,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_29) ).
cnf(i_0_11,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_11) ).
cnf(i_0_213,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_213) ).
cnf(i_0_72,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_72) ).
cnf(i_0_220,hypothesis,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xr,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_220) ).
cnf(i_0_6,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_6) ).
cnf(i_0_223,hypothesis,
sdtasdt0(xp,esk13_0) = sdtasdt0(xp,xm),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_223) ).
cnf(i_0_224,hypothesis,
aNaturalNumber0(esk13_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_224) ).
cnf(i_0_71,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_71) ).
cnf(i_0_204,hypothesis,
( X1 = sz10
| X1 = xp
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_204) ).
cnf(i_0_69,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_69) ).
cnf(i_0_206,hypothesis,
xp != sz10,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_206) ).
cnf(i_0_207,hypothesis,
sz00 != xp,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_207) ).
cnf(i_0_70,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_70) ).
cnf(i_0_66,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_66) ).
cnf(i_0_4,plain,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_4) ).
cnf(i_0_50,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_50) ).
cnf(i_0_68,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_68) ).
cnf(i_0_56,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_56) ).
cnf(i_0_58,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_58) ).
cnf(i_0_227,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_227) ).
cnf(i_0_222,hypothesis,
doDivides0(xp,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_222) ).
cnf(i_0_226,hypothesis,
aNaturalNumber0(esk12_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-rl5vnzny/lgb.p',i_0_226) ).
cnf(c_0_255,plain,
( sdtlseqdt0(X1,X2)
| sdtpldt0(X1,X3) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3) ),
i_0_26 ).
cnf(c_0_256,plain,
( aNaturalNumber0(sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_5 ).
cnf(c_0_257,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
i_0_221 ).
cnf(c_0_258,hypothesis,
sdtasdt0(xp,esk12_0) = sdtasdt0(xn,xm),
i_0_225 ).
cnf(c_0_259,plain,
( X1 = sdtmndt0(X2,X3)
| sdtpldt0(X3,X1) != X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ sdtlseqdt0(X3,X2) ),
i_0_29 ).
cnf(c_0_260,plain,
( sdtlseqdt0(X1,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_255]),c_0_256]) ).
cnf(c_0_261,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xp,esk12_0),
inference(rw,[status(thm)],[c_0_257,c_0_258]) ).
cnf(c_0_262,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_11 ).
cnf(c_0_263,hypothesis,
aNaturalNumber0(xr),
i_0_213 ).
cnf(c_0_264,hypothesis,
aNaturalNumber0(xm),
i_0_72 ).
cnf(c_0_265,hypothesis,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(xr,xm),
i_0_220 ).
cnf(c_0_266,plain,
( aNaturalNumber0(sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
i_0_6 ).
cnf(c_0_267,hypothesis,
sdtasdt0(xp,esk13_0) = sdtasdt0(xp,xm),
i_0_223 ).
cnf(c_0_268,hypothesis,
aNaturalNumber0(esk13_0),
i_0_224 ).
cnf(c_0_269,hypothesis,
aNaturalNumber0(xp),
i_0_71 ).
cnf(c_0_270,hypothesis,
( X1 = sz10
| X1 = xp
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,xp) ),
i_0_204 ).
cnf(c_0_271,plain,
( X1 = sz00
| X1 = sz10
| doDivides0(esk4_1(X1),X1)
| ~ aNaturalNumber0(X1) ),
i_0_69 ).
cnf(c_0_272,hypothesis,
xp != sz10,
i_0_206 ).
cnf(c_0_273,hypothesis,
sz00 != xp,
i_0_207 ).
cnf(c_0_274,plain,
( sdtmndt0(sdtpldt0(X1,X2),X1) = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_259]),c_0_256]),c_0_260]) ).
cnf(c_0_275,hypothesis,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xm,xr)) = sdtasdt0(xp,esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_264])]) ).
cnf(c_0_276,hypothesis,
sdtmndt0(sdtasdt0(xp,esk12_0),sdtasdt0(xp,xm)) = sdtasdt0(xr,xm),
inference(rw,[status(thm)],[c_0_265,c_0_258]) ).
cnf(c_0_277,hypothesis,
aNaturalNumber0(sdtasdt0(xp,xm)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]),c_0_269])]) ).
cnf(c_0_278,hypothesis,
( esk4_1(xp) = sz10
| esk4_1(xp) = xp
| ~ aNaturalNumber0(esk4_1(xp)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_269])]),c_0_272]),c_0_273]) ).
cnf(c_0_279,plain,
( X1 = sz00
| X1 = sz10
| aNaturalNumber0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_70 ).
cnf(c_0_280,plain,
( X1 != sz10
| ~ aNaturalNumber0(X1)
| ~ isPrime0(X1) ),
i_0_66 ).
cnf(c_0_281,plain,
aNaturalNumber0(sz10),
i_0_4 ).
cnf(c_0_282,plain,
( sdtasdt0(xr,xm) = sdtasdt0(xm,xr)
| ~ aNaturalNumber0(sdtasdt0(xm,xr)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276]),c_0_277])]) ).
cnf(c_0_283,plain,
( doDivides0(X1,X2)
| X2 != sdtasdt0(X1,X3)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3) ),
i_0_50 ).
cnf(c_0_284,plain,
( X1 = sz00
| X1 = sz10
| isPrime0(esk4_1(X1))
| ~ aNaturalNumber0(X1) ),
i_0_68 ).
cnf(c_0_285,plain,
( esk4_1(xp) = xp
| esk4_1(xp) = sz10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_269])]),c_0_272]),c_0_273]) ).
cnf(c_0_286,plain,
~ isPrime0(sz10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_280]),c_0_281])]) ).
cnf(c_0_287,plain,
sdtasdt0(xr,xm) = sdtasdt0(xm,xr),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_266]),c_0_263]),c_0_264])]) ).
cnf(c_0_288,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X3,X2)
| ~ doDivides0(X1,X3) ),
i_0_56 ).
cnf(c_0_289,plain,
( doDivides0(X1,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_283]),c_0_266]) ).
cnf(c_0_290,plain,
esk4_1(xp) = xp,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_269])]),c_0_272]),c_0_273]),c_0_286]) ).
cnf(c_0_291,plain,
( doDivides0(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X3)
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X3)
| ~ doDivides0(X1,sdtpldt0(X3,X2)) ),
i_0_58 ).
cnf(c_0_292,plain,
aNaturalNumber0(sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_287]),c_0_264]),c_0_263])]) ).
cnf(c_0_293,plain,
( doDivides0(X1,sdtasdt0(X2,X3))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X3)
| ~ doDivides0(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_266]) ).
cnf(c_0_294,plain,
doDivides0(xp,xp),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_290]),c_0_269])]),c_0_272]),c_0_273]) ).
cnf(c_0_295,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
i_0_227 ).
cnf(c_0_296,plain,
( doDivides0(X1,sdtasdt0(xm,xr))
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,sdtasdt0(xp,esk12_0))
| ~ doDivides0(X1,sdtasdt0(xp,xm)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_275]),c_0_277])]),c_0_292])]) ).
cnf(c_0_297,plain,
( doDivides0(xp,sdtasdt0(xp,X1))
| ~ aNaturalNumber0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_269])]) ).
cnf(c_0_298,hypothesis,
doDivides0(xp,sdtasdt0(xp,xm)),
i_0_222 ).
cnf(c_0_299,hypothesis,
aNaturalNumber0(esk12_0),
i_0_226 ).
cnf(c_0_300,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xm,xr)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_262]),c_0_263]),c_0_264])]) ).
cnf(c_0_301,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_269]),c_0_298]),c_0_299])]),c_0_300]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : NUM492+3 : TPTP v8.1.0. Released v4.0.0.
% 0.01/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 22:50:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 9.87/2.56 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.87/2.56 # No SInE strategy applied
% 9.87/2.56 # Trying AutoSched0 for 150 seconds
% 9.87/2.56 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 9.87/2.56 # and selection function SelectNewComplexAHP.
% 9.87/2.56 #
% 9.87/2.56 # Preprocessing time : 0.024 s
% 9.87/2.56 # Presaturation interreduction done
% 9.87/2.56
% 9.87/2.56 # Proof found!
% 9.87/2.56 # SZS status Theorem
% 9.87/2.56 # SZS output start CNFRefutation
% See solution above
% 9.87/2.56 # Training examples: 0 positive, 0 negative
% 9.87/2.56
% 9.87/2.56 # -------------------------------------------------
% 9.87/2.56 # User time : 0.295 s
% 9.87/2.56 # System time : 0.021 s
% 9.87/2.56 # Total time : 0.316 s
% 9.87/2.56 # Maximum resident set size: 7124 pages
% 9.87/2.56
%------------------------------------------------------------------------------